- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2022-03-28 16:58:44+13:00
- Desc:
- With channel density checked using patch clamp against kinetic model
- Permanent Source URI:
- https://models.cellml.org/workspace/831/rawfile/f7323da5e7d5ea28a8a7bfa4d6e503e98d64b5e1/matlab_parameter_fitting/K_kappa.m
% 18 April: make it fit 6 state CC model
clear;
%% Set directories
main_dir = pwd;
data_dir = [main_dir '\data' filesep];
output_dir = [main_dir '\output' filesep];
storage_dir = [main_dir '\storage' filesep];
%% Define constants and volumes ( [=] pL)
R = 8.314; % unit J/mol/K
T = 310;
F = 96485;
W_i = 38;
W_e = 5.182;
N_A = 6.022e23;
x_tcc_channel = 50000/N_A*1e15; % channel density: unit fmol. Using Pan value for LCC
%% Load stoichiometric matrices
N_f = [1 0 0 0 0 0 0 0; % includes GHK for Cai and Cao
0 0 0 0 0 0 0 0;
0 1 0 0 0 1 0 0;
0 0 0 1 0 0 1 0;
0 0 0 0 0 0 0 1;
0 0 1 0 0 0 0 0;
0 0 0 0 1 0 0 0;
0 0 0 0 0 0 0 0;
];
N_r = [0 0 0 0 0 0 0 0;
1 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0;
0 1 0 0 0 0 0 0;
0 0 0 1 0 0 0 0;
0 0 0 0 0 1 0 0;
0 0 1 0 0 0 1 0;
0 0 0 0 1 0 0 1;
];
N_fT = transpose(N_f);
N_rT = transpose(N_r);
N = N_r - N_f;
% N_T = N_rT - N_fT;
num_cols = size(N,2); % number of reactions
I = eye(num_cols);
M = [I N_fT; I N_rT];
M_rref = rref(M);
% GHK permeability for K in Ks channel (see PSO_GHK_fitting_curve.m)
load([storage_dir 'tcc_G_GHK.mat']);
P_CaTCC = G_GHK/F * 1e12; % Unit pL/s
%% Set up the vectors
load([storage_dir 'TCC_b_parameters.mat']);
params_b = params_vec;
load([storage_dir 'TCC_g_parameters.mat']);
params_g = params_vec;
z_bf = params_b(2);
z_br = params_b(4);
z_gf = params_g(2);
z_gr = params_g(4);
zf = [z_bf, z_gf];
zr = [z_br, z_gr];
% unit s^-1
alpha_b = params_b(1); % unit s^-1
beta_b = params_b(3); % unit s^-1
alpha_g = params_g(1); % unit s^-1
beta_g = params_g(3); % unit s^-1
kf_Ca = [P_CaTCC/x_tcc_channel; ... % R_GHK
2*alpha_b; ... % Rb_00
2*alpha_b; ... % Rb_01
alpha_b; ... % Rb_10
alpha_b; ... % Rb_11
alpha_g; ... % Rg_00
alpha_g; ... % Rg_10
alpha_g]; % Rg_20
kr_Ca = [P_CaTCC/x_tcc_channel; ... % R_GHK
beta_b; ... % Rb_00
beta_b; ... % Rb_01
2*beta_b; ... % Rb_10
2*beta_b; ... % Rb_11
beta_g; ... % Rg_00
beta_g; ... % Rg_10
beta_g]; % Rg_20
% Overall
kf = kf_Ca;
kr = kr_Ca;
k = [kf;kr];
W = [ones(size(N,2),1);W_i;W_e;ones(6,1)];
lambdaW = exp(pinv(M)*log(k));
lambda = lambdaW./W;
kappa = lambda(1:size(N,2)); % [=] mol/s if corresponding v [=] mol/s
K = lambda(size(N,2)+1:end); % [=] 1/mol if corresponding q [=] mol
save([output_dir 'K_kappa_TCC.mat'],'kappa','K');
%% Checks
N_rref = rref(N);
R_zdvat = null(N,'r');
K_eq = kf./kr;
zero_est = R_zdvat'*K_eq;
k_est = exp(M*log(lambdaW));
diff = sum(abs((k-k_est)./k));
kdiff = [k,k_est];
if diff > 1
warning('lol DIFF is greater than 1, nublet.');
end
%% display text for cellml
rname = {'TCC','b00','b01','b10','b11','g00','g10','g20'};
Kname = {'Cai','Cae','S00','S10','S20','S01','S11','S21'};
zname = {'b', 'g'};
for ik = 1:length(kappa)
fprintf('var kappa_%s: fmol_per_sec {init: %g, pub: out};\n', rname{ik}, kappa(ik));
end
for ik = 1:length(K)
fprintf('var K_%s: per_fmol {init: %g, pub: out};\n', Kname{ik}, K(ik));
end
for ik = 1:length(zf)
fprintf('var z_%sf: dimensionless {init: %g, pub: out};\n', zname{ik}, zf(ik));
end
for ik = 1:length(zr)
fprintf('var z_%sr: dimensionless {init: %g, pub: out};\n', zname{ik}, zr(ik));
end
if true
% component import parameters
for ik = 1:length(kappa)
fprintf('var kappa_%s: fmol_per_sec {pub: in};\n', rname{ik});
end
for ik = 1:length(K)
fprintf('var K_%s: per_fmol {pub: in};\n', Kname{ik});
end
for ik = 1:length(zf)
fprintf('var z_%sf: dimensionless {pub: in};\n', zname{ik});
end
for ik = 1:length(zr)
fprintf('var z_%sr: dimensionless {pub: in};\n', zname{ik});
end
% mapping
for ik = 1:length(kappa)
fprintf('vars kappa_%s and kappa_%s;\n', rname{ik}, rname{ik});
end
for ik = 1:length(K)
fprintf('vars K_%s and K_%s;\n', Kname{ik}, Kname{ik});
end
for ik = 1:length(zf)
fprintf('vars z_%sf and z_%sf;\n', zname{ik}, zname{ik});
end
for ik = 1:length(zr)
fprintf('vars z_%sr and z_%sr;\n', zname{ik}, zname{ik});
end
end
